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Finding the Fourth Proportional to 232,996.57, 348,934.29 and 132,853.17

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Solution

The fourth proportional to 232,996.57, 348,934.29 and 132,853.17 is: 198,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,996.57 : 348,934.29 = 132,853.17 : x
  2. Step 2: Convert to fraction form
    232,996.57/348,934.29 = 132,853.17/x
  3. Step 3: Cross multiply
    232,996.57x = 348,934.29 × 132,853.17
  4. Step 4: Simplify right side
    232,996.57x = 46,357,026,548.20
  5. Step 5: Solve for x
    x = 46,357,026,548.20/232,996.57
  6. Step 6: Final answer
    x = 198,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.